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Finding the Fourth Proportional to 2,493.31, 3,738.82 and 737.69

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Solution

The fourth proportional to 2,493.31, 3,738.82 and 737.69 is: 1,106.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,493.31 : 3,738.82 = 737.69 : x
  2. Step 2: Convert to fraction form
    2,493.31/3,738.82 = 737.69/x
  3. Step 3: Cross multiply
    2,493.31x = 3,738.82 × 737.69
  4. Step 4: Simplify right side
    2,493.31x = 2,758,091.51
  5. Step 5: Solve for x
    x = 2,758,091.51/2,493.31
  6. Step 6: Final answer
    x = 1,106.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.